Q: What are the factor combinations of the number 372,557,507?

 A:
Positive:   1 x 3725575077 x 532225017069 x 527037529 x 49483
Negative: -1 x -372557507-7 x -53222501-7069 x -52703-7529 x -49483


How do I find the factor combinations of the number 372,557,507?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 372,557,507, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 372,557,507
-1 -372,557,507

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 372,557,507.

Example:
1 x 372,557,507 = 372,557,507
and
-1 x -372,557,507 = 372,557,507
Notice both answers equal 372,557,507

With that explanation out of the way, let's continue. Next, we take the number 372,557,507 and divide it by 2:

372,557,507 ÷ 2 = 186,278,753.5

If the quotient is a whole number, then 2 and 186,278,753.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 372,557,507
-1 -372,557,507

Now, we try dividing 372,557,507 by 3:

372,557,507 ÷ 3 = 124,185,835.6667

If the quotient is a whole number, then 3 and 124,185,835.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 372,557,507
-1 -372,557,507

Let's try dividing by 4:

372,557,507 ÷ 4 = 93,139,376.75

If the quotient is a whole number, then 4 and 93,139,376.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 372,557,507
-1 372,557,507
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

177,0697,52949,48352,70353,222,501372,557,507
-1-7-7,069-7,529-49,483-52,703-53,222,501-372,557,507

More Examples

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